24.08.2021

A company manufactures three types of cabinets, type A, type B, and type C.
Last week, the number of type B cabinets produced was 30 more than the number of type A cabinets produced. The number of type C cabinets produced was 20 more than times the number of type A cabinets produced.
If the company made the same number of type B and type C cabinets last week, then the number of type A cabinets produced was
. The total number of cabinets produced last week was
.

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Mathematics

Acompany manufactures three types of cabinets, type a, type b, and type c. last week, the number of type b cabinets produced was 30 more than the number of type a cabinets produced. the number of type c cabinets produced was 20 more than times the number of type a cabinets produced. if the company made the same number of type b and type c cabinets last week, then the number of type a cabinets produced was . the total number of cabinets produced last week was .

Step-by-step answer

P Answered by PhD

Using a system of equations, it is found that:

The number of type A cabinets produced was 10.The total number of cabinets produced last week was 80.

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We are going to call x the number of type A cabinets, y the number of type B and z the number of type C.

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The number of type B was 30 more than 1/2 the number of type A, thus:

$y = 30 + \frac{x}{2}$

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The number of type C was 20 more than 3/2 the number of type A, thus:

$z = 20 + \frac{3x}{2}$

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Same number of type B and type C, thus:

y = z

$30 + \frac{x}{2} = 20 + \frac{3x}{2}$

$\frac{2x}{2} = 10$

x = 10

The number of type A cabinets produced was 10.

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For B and C:

$y = 30 + \frac{x}{2} = 30 + \frac{10}{2} = 30 + 5 = 35$

$z = 20 + \frac{3x}{2} = 20 + \frac{30}{2} = 20 + 15 = 35$

Thus, in total:

10 + 35 + 35 = 80

The total number of cabinets produced last week was 80.

A similar problem is given at link

Mathematics

Type the correct answer in each box. A company manufactures three types of cabinets, type A, type B, and type C. Last week, the number of type B cabinets produced was 30 more than the number of type A cabinets produced. The number of type C cabinets produced was 20 more than times the number of type A cabinets produced. If the company made the same number of type B and type C cabinets last week, then the number of type A cabinets produced was . The total number of cabinets produced last week was .

Step-by-step answer

P Answered by Specialist

If the company made the same number of type B and type C cabinets last week, then the number of type A cabinets produced was 10. The total number of cabinets produced last week was 80.

Step-by-step explanation:

I took the test.

Mathematics

Acompany manufactures three types of cabinets, type a, type b, and type c.last week, the number of type b cabinets produced was 30 more than 1/2 number of type a cabinets produced. the number of type c cabinets produced was 20 more than 3/2 times the number of type a cabinets produced.if the company made the same number of type b and type c cabinets last week, then the number of type a cabinets produced was . the total number of cabinets produced last week was .

Step-by-step answer

P Answered by Master

B = 0.5A + 30
C = 1.5A + 20
If B = C, that means we can set the two equations equal to each other.
0.5A + 30 = 1.5A + 20
A = 10... Plug that into one of the equations to find B or C (they are the same)..
B = 0.5 * 10 + 30 = 35
35 + 35 + 10 = 80 total.

Mathematics

Step-by-step answer

P Answered by Master

Mathematics

A company manufactures three types of cabinets, type A, type B, and type C. Last week, the number of type B cabinets produced was 30 more than 1/2 the number of type A cabinets produced. If the company made the same number of type B and type C cabinets last week, then the number of type A cabinets produced was _ the total number of cabinets produced last week was _

Step-by-step answer

P Answered by PhD

Type A cabinets generated was 10

Type B and type C cabinets generated were 35

So, the total cabinets produced is 45

Step-by-step explanation:

It is given that